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Finding the Fourth Proportional to 1,954.89, 2,697.77 and 1,396.30

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Solution

The fourth proportional to 1,954.89, 2,697.77 and 1,396.30 is: 1,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.89 : 2,697.77 = 1,396.30 : x
  2. Step 2: Convert to fraction form
    1,954.89/2,697.77 = 1,396.30/x
  3. Step 3: Cross multiply
    1,954.89x = 2,697.77 × 1,396.30
  4. Step 4: Simplify right side
    1,954.89x = 3,766,896.25
  5. Step 5: Solve for x
    x = 3,766,896.25/1,954.89
  6. Step 6: Final answer
    x = 1,926.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.